Higher class numbers in extensions of number fields

DOI10.1007/s40840-014-0064-2zbMath1325.19003OpenAlexW1973677848MaRDI QIDQ2350685

Haiyan Zhou

Publication date: 25 June 2015

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-014-0064-2

zbMATH Keywords

Galois extensiontame kernelhigher class number

Mathematics Subject Classification ID

Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) Other abelian and metabelian extensions (11R20)

Related Items (1)

The extended Bloch groups of biquadratic and dihedral number fields

Cites Work

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• On motivic cohomology with \(\mathbb{Z}/l\)-coefficients
• Motivic cohomology with \(\mathbb Z/2\)-coefficients
• Index formulae for integral Galois modules
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• The Brauer–Kuroda formula for higher S-class numbers in dihedral extensions of number fields
• Tame and wild kernels of quadratic imaginary number fields
• Kuroda's class number formula
• Tame kernels and second regulators of number fields and their subfields
• Über die Klassenzahlen algebraischer Zahlkörper
• Beziehungen zwischen Klassenzahlen von Teilkörpern eines galoisschen Körpers. Herrn Professor Dr. Erhard Schmidt in dankbarer Verehrung zum 75. Geburtstag

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